Current distributions in stripe Majorana junctions

Abstract

We calculate current and density distributions in stripe (2D planar) junctions between normal and Majorana nanowires having a finite ($y$) transverse length. In presence of a magnetic field with vertical and in-plane components, the $y$-symmetry of the charge current distribution in the normal lead changes strongly across the Majorana phase transition: from center-symmetric if a Majorana mode is present to laterally-shifted (as expected by the Hall effect) if the field is tilted such as to destroy the Majorana mode due to the projection rule. We compare quasi-particle and charge distributions of current and density, as well as spin magnetizations. The Majorana mode causes opposite spin accumulations on the junction and the emergence of a spin current.

8 pages, 5 figures. Fixed Fig.1 and Fig3 bounding boxes

References in corpus (13)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Search for Majorana fermions in multiband semiconducting nanowires
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Majorana Fermions: The race continues
• Majorana modes and complex band structure of quantum wires
• Majorana states and magnetic orbital motion in planar hybrid nanowires
• Identify the topological superconducting order in a multi-band quantum wire